几何分析讨论班

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几何分析讨论班

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21

2025-04

几何与拓扑讨论班——Real Bott periodicity at higher chromatic heights

报告人：Guchuan Li，Peking UniversityPretalk主题：Bott Periodicity and topological K-theory时间：2025年4月21日，16:15-16:45摘要：We will assume Bott Periodicity and use it to define a generalized cohomology theory: topological K-theory.Research Talk主题：Real Bott periodicity at higher chromatic heights时间：2025年4月21日，16:45-17:35摘要：Real Bott periodicity shows that the homotopy groups of Re...

18

2025-04

几何与拓扑讨论班——Extremals in log-concavity: an algebro-geometric viewpoint

报告人：Jian Xiao，Tsinghua UniversityPretalk主题：Examples on log-concavity时间：2025年4月18日，16:15-16:45摘要：We present several examples on log-concavity in geometry and combinatorics, behind which is the Hodge index theorem.Research Talk主题：Extremals in log-concavity: an algebro-geometric viewpoint时间：2025年4月18日，16:45-17:35摘要：We show how to formulate the extremal problem in log-co...

14

2025-04

几何与拓扑讨论班——Spheres, spectral algebraic geometry, and Jacquet–Langlands correspondence

报告人：Yifei Zhu，Southern University of Science and TechnologyPretalk主题：Quantum materials, Higgs bundles, and geometric Langlands correspondence时间：2025年4月14日，16:15-16:45摘要：With motivation from condensed matter physics and materials science in collaboration with physicists, I’ll discuss explicit examples of eigenbundles associated to both gapped and gapless quantum mechanical system...

07

2025-04

几何与拓扑讨论班——Symplectic foliation of modular Poisson structures

报告人：Zheng Hua，University of Hong KongPretalk主题：On Modular Poisson structures时间：2025年4月7日，16:15-16:45摘要：We will briefly recall Poisson structures in the algebraic geometry context. We will focus on two main classes of examples: moduli space of sheaves on del Pezzo surfaces and semi-classical limits of noncommutative deformations.Research Talk主题：Symplectic foliation of modular P...

24

2025-03

几何与拓扑讨论班——The natural flow and the critical exponent

报告人：Shi Wang，ShanghaiTech UniversityPretalk主题：Basics in nonpositive curvature时间：2025年3月24日，16:15-16:45摘要：We review basics in nonpositive curvature.Research Talk主题：The natural flow and the critical exponent时间：2025年3月24日，16:45-17:15摘要：For a complete Riemannian manifold of nonpositive curvature, we introduce a flow. We give an upper bound on the k-Jacobian of the flow i...

11

2025-03

几何与拓扑讨论班——Quasimaps to critical loci

报告人：Yalong Cao (Morningside Center of Mathematics, Chinese Academy of Sciences）PretalkTitle:Why critical loci are important 时间：2025年3月10日,16:15-16:45摘要：We review why critical loci are important.Research talkTitle:Quasimaps to critical loci时间：2025年3月10日,16:45-17:35摘要：Critical loci are fundamental objects in geometry, physics and representation theory. In this talk, ...

04

2025-03

几何与拓扑讨论班——An Introduction to Foliations and the Minimal Model Program

报告人：Jihao Liu，Peking University时间：2025年3月4日地点：紫金港校区东7数高院一楼报告厅组织者：Hana Jia Kong, Song Sun,Lei Wu, Weiwei WuPretalk主题：An Introduction to Foliations and the Minimal Model Program时间：16:15-16:45 摘要：This pretalk will provide an overview of foliations from the perspective of birational geometry, along with an introduction to the minimal model progra...

03

2025-03

几何与拓扑讨论班——A characterization of uniruled Kaehler manifolds

报告人：Wenhao Ou，Institute of Mathematics, Chinese Academy of Sciences时间：2025年3月3日，16:45-17:35地点：紫金港校区海纳苑2幢204室摘要：We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kaehler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Paun and of Druel to foliations on compact Kaehler manifolds. As an ap...

03

2025-03

几何与拓扑讨论班——Rational curves in complex manifolds

报告人：Wenhao Ou，Institute of Mathematics, Chinese Academy of Sciences时间：2025年3月3日，16：15-16：45地点：紫金港校区海纳苑2幢204室摘要：We review some classical results in birational geometry, particularly on rational curves in complex manifolds. 组织者：Prof. Hana Jia Kong (ZJU)Prof. Song Sun (IASM)Prof. Lei Wu (ZJU)Prof. Weiwei Wu (ZJU)

02

2025-01

浙大-西湖几何分析讨论班——Construction of Morse Flow Lines between Self-expanders

报告人：陈乐天（University of Tennessee, Knoxville）时间：2025年1月6日（星期一），下午4:00-5:00地点：海纳苑2幢203摘要：One of the central questions in the study of mean curvature flow (MCF) is to determine whether one can flow past singularities. For asymptotically conical singularities, self-expanders model the potential continuations of MCFs past singularities. However, due to ...

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